This is the way the formula is written in my book;
Gross Thrust (Static) F (gross) = m dot (V2-V1)
V2-V1 Final velocity – initial velocity.
F (net) = F (gross) – F (Drag)
F (Drag) is the ram drag or inlet momentum drag caused by forward speed effect. If engine is not moving forward F (net) = F (gross).
Adding fuel: F (net) = m dot (V2-V1) + m dot fuel V (f)
Note: fuel inlet velocity will be same as engine so no initial velocity. Some formulas do not include fuel flow effects because the effects of air leakage are approximately the same as fuel flow effects.

The fuel is added to mass air flow – if used.

Most nozzles are chocked and there is a formula for that I can give you if you are interested.